Understanding Fractions, Decimals, and Percentages

The video tutorial explains how to use a decimal grid to model the fraction two-fifths. It covers defining different grid types, modeling the fraction, and converting it to a decimal and a percentage. The tutorial demonstrates that two-fifths is equivalent to four-tenths or 0.4 as a decimal and 40% as a percentage.

What is the purpose of using a decimal grid in this lesson?

• To solve algebraic equations

• To represent fractions, decimals, and percentages

• To learn about geometry

• To practice multiplication

What is a 'flat' in the context of a decimal grid?

• A hundred-by-hundred grid

• A ten-by-ten grid

• A one-by-ten grid

• A one-by-one grid

How many 'longs' make up one 'flat'?

• Twenty

• One hundred

• Ten

• Five

How is the ten-by-ten grid partitioned to represent the fraction two-fifths?

• Into one hundred equal parts

• Into five equal parts

• Into ten equal parts

• Into two equal parts

How many partitions are shaded to represent two-fifths?

• Two

• Three

• Four

• One

What decimal is equivalent to the fraction two-fifths?

• 0.2

• 0.4

• 0.5

• 0.6

How many 'longs' are used to represent the decimal equivalent of two-fifths?

• Two

• Three

• Four

• Five

What percentage is equivalent to the fraction two-fifths?

• 20%

• 30%

• 40%

• 50%

How many parts of the ten-by-ten grid are shaded to represent forty percent?

• Twenty

• Thirty

• Forty

• Fifty

What is the relationship between the decimal 0.4 and the percentage 40%?

• 0.4 is equal to 40%

• 0.4 is greater than 40%

• 0.4 is less than 40%

• They are unrelated